No, because I can conceive of a radius r +n +1. Infinite means "nothing can be larger than....". Merely running out of bricks doesn't mean you have built an infinite wall because, as the Panzer Divisions discovered, you can drive round it with a finite amount of fuel.

Alan - when we say in physics lessons that liquids are incompressible, is that a small lie? For water to become denser at greater depth, as we know it does and as you have mentioned above, then it must be compressing a bit. So are physics teachers lying when they say this?!

It's only a bit more of a lie than Newtonian physics - the approximation is good enough for everyday use. But if a substance were truly incompressible, the speed of sound would be infinite as every molecule would have to move at the same time.

I'm fairly certain that some films of V1, V2 and Komet test launches show a mechanical timer superimposed in one corner of the frame. Presumably this device, or whatever was driving it, initiated the pre-launch sequence of pumps and igniters so it was a countdown device even if the absolute time of launch wasn't critical.

Whilst the newsreels generally only show the bit from T - 10, an intercept mission might start from T minus several months or years, and will include critical points for delivery and testing of subsystems for a vehicle that only exists on paper at the beginning of the count.

Alan appears to have addressed this; which just leaves me needing to clarify:- Is the distinction between indeterminacy and uncertainty that uncertainty is something inherent to the system, while indeterminacy arises from external factors?

Other way round! I can state my weight is 110 kg with an uncertainty of 1 kg depending on clothing, time of day, etc. Likewise I can state my speed is x/y with an uncertainty depending on how I measured x and y, and I can truncate the calculation of e/π to any level of uncertainty I choose, but 0/0 is inherently indeterminate.

To take Jeffrey's example,I can set up a collimator to select photons coming from a radioactive source, with any degree of traje3ctory precision I choose, subject to the uncertainties of measurement and machining, but the time between the arrival of successive photons is inherently unpredictable because it is subject to the indeterminacy of the decay process.

Most active (as opposed to reactive - self-defence or revenge) violent crimes are committed by males, so there's obviously something genetic at work. Risk-taking and an enhanced physical flight-or-fight response are associated with testosterone, the level of which seems to be genetically determined.

Whether a testosterone-loaded male becomes a career criminal or a hero (Mohammed Ali, Douglas Bader.....) depends on circumstance and opportunity. Ali was lucky to meet a policeman who took him to a gym to work off his fury at having his bike stolen. Bader was lucky that a war turned up just as his boxing and cricketing career came to an end.